Evaluate (5/4)^-3

${(\frac{5}{4})}^{- 3}$

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

${(\frac{4}{5})}^{3}$

Step 2

Apply the product rule to $\frac{4}{5}$ .

$\frac{4^{3}}{5^{3}}$

Step 3

Raise $4$ to the power of $3$ .

$\frac{64}{5^{3}}$

Step 4

Raise $5$ to the power of $3$ .

$\frac{64}{125}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{64}{125}$

Decimal Form:

$0.512$